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Finding the Fourth Proportional to 512,049.76, 768,073.78 and 212,330.32

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Solution

The fourth proportional to 512,049.76, 768,073.78 and 212,330.32 is: 318,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,049.76 : 768,073.78 = 212,330.32 : x
  2. Step 2: Convert to fraction form
    512,049.76/768,073.78 = 212,330.32/x
  3. Step 3: Cross multiply
    512,049.76x = 768,073.78 × 212,330.32
  4. Step 4: Simplify right side
    512,049.76x = 163,085,351,491.01
  5. Step 5: Solve for x
    x = 163,085,351,491.01/512,049.76
  6. Step 6: Final answer
    x = 318,495.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.